## McGill University

# Department of Mathematics & Statistics

# Higher Algebra I

# 189-570A

## Detailed Syllabus

** Sept. 1-Sept 3**:
Overview of the course. Group Theory.

** Sept 6-Sept 10**: Group Theory. Proof of the Sylow theorems.

** Sept 13-Sept 17**: Rings and fields.

** Sept 20-Sept 24**: Rings and fields. Galois theory.

** Sept 27-Oct 1**: Galois Theory.

** Oct 4-Oct 8**: Galois Theory.

** Oct 11-Oct 15**: Galois Theory.

** Oct 18-Oct 22**: Galois Theory.

** Oct 25-Oct 29 **: Galois Theory.

** Nov 1-Nov 5**: Linear algebra.
Representation theory.

** Nov 8-Nov 12**:
Representation theory.

** Nov 15-Nov 19**:
Representation theory.

** Nov 22-Nov 26**:
Representation theory.

** Nov 29-Dec 3**:
Representation theory.
Review of the material.